105105242000 has 160 divisors (see below), whose sum is σ = 277545235968. Its totient is φ = 38179200000.

The previous prime is 105105241931. The next prime is 105105242051. The reversal of 105105242000 is 242501501.

It is a super-2 number, since 2×105105242000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27080060 + ... + 27083940.

Almost surely, 2^105105242000 is an apocalyptic number.

105105242000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105105242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138772617984).

105105242000 is an abundant number, since it is smaller than the sum of its proper divisors (172439993968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105105242000 is a wasteful number, since it uses less digits than its factorization.

105105242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5146 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 105105242000 its reverse (242501501), we get a palindrome (105347743501).

The spelling of 105105242000 in words is "one hundred five billion, one hundred five million, two hundred forty-two thousand".